Mr. D’Souza argues that the president has emasculated NASA, refused to take a “meaningful step” against Iran’s nuclear ambitions and is willing to let Argentina reclaim the Falkland Islands from the British. He paints in ominous terms the president’s conciliatory 2009 speech in Cairo and envisions a foreboding future in which the Middle East becomes a “United States of Islam.”

Mr. D’Souza revives figures tied to Mr. Obama by conservative critics in the last election, including the Rev. Jeremiah Wright; the Chicago educator, activist and former radical Bill Ayers; and Edward Said, a Palestinian scholar and a professor of Mr. Obama’s at Columbia, who died in 2003. Mr. D’Souza stumbles when interviewing George Obama, the president’s half-brother, an activist who voluntarily lives amid squalor in Nairobi, Kenya. “Obama has not done anything to help you,” Mr. D’Souza says. “He’s taking care of me; I’m part of the world,” George Obama replies.

Eventually, we see blunt imagery like Benjamin Franklin’s face on a burning $100 bill and a shot of the Statue of Liberty. Not interviewed by the filmmakers are Obama’s political supporters, but this isn’t that kind of documentary. At a show on Saturday night, the film’s conclusion was met with claps and cries of “Romney!,” “Ron Paul!,” “Reagan!” and “Another Reagan!”